Gambler's fallacy, hot hand belief, and the time of patterns
The gambler's fallacy and the hot hand belief have been classified as two exemplars of human misperceptions of random sequential events. This article examines the times of pattern occurrences where a fair or biased coin is tossed repeatedly. We demonstrate that, due to different pattern composition, two different statistics (mean time and waiting time) can arise from the same independent Bernoulli trials. When the coin is fair, the mean time is equal for all patterns of the same length but the waiting time is the longest for streak patterns. When the coin is biased, both mean time and waiting time change more rapidly with the probability of heads for a streak pattern than for a non-streak pattern. These facts might provide a new insight for understanding why people view streak patterns as rare and remarkable. The statistics of waiting time may not justify the prediction by the gambler's fallacy, but paying attention to streaks in the hot hand belief appears to be meaningful in detecting the changes in the underlying process.
Volume (Year): 5 (2010)
Issue (Month): 2 (April)
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- Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, 03.
- Matthew Rabin & Dimitri Vayanos, 2007.
"The Gambler's and Hot-Hand Fallacies:Theory and Applications,"
FMG Discussion Papers
dp578, Financial Markets Group.
- Matthew Rabin & Dimitri Vayanos, 2010. "The Gambler's and Hot-Hand Fallacies: Theory and Applications," Review of Economic Studies, Oxford University Press, vol. 77(2), pages 730-778.
- Rabin, Matthew & Vayanos, Dimitri, 2007. "The Gambler's and Hot-Hand Fallacies: Theory and Applications," CEPR Discussion Papers 6081, C.E.P.R. Discussion Papers.
- Matthew Rabin & Dimitri Vayanos, 2007. "The gambler's and hot-hand fallacies: theory and applications," LSE Research Online Documents on Economics 24476, London School of Economics and Political Science, LSE Library.
- Rachel Croson & James Sundali, 2005. "The Gambler’s Fallacy and the Hot Hand: Empirical Data from Casinos," Journal of Risk and Uncertainty, Springer, vol. 30(3), pages 195-209, May.
- James Sundali & Rachel Croson, 2006. "Biases in casino betting: The hot hand and the gambler's fallacy," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 1, pages 1-12, July.
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